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21390330168 = 23322922734507
BaseRepresentation
bin10011111010111101…
…101000100100111000
32001012201200100200200
4103322331220210320
5322301411031133
613454313002200
71355033543424
oct237275504470
961181610620
1021390330168
119087313719
12418b6b3360
13202b74bbcc
14106cbdbb84
15852d50913
hex4faf68938

21390330168 has 96 divisors (see below), whose sum is σ = 59969473200. Its totient is φ = 6879688704.

The previous prime is 21390330161. The next prime is 21390330173. The reversal of 21390330168 is 86103309312.

It is a super-3 number, since 3×213903301683 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21390330161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4743771 + ... + 4748277.

Almost surely, 221390330168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21390330168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29984736600).

21390330168 is an abundant number, since it is smaller than the sum of its proper divisors (38579143032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21390330168 is a wasteful number, since it uses less digits than its factorization.

21390330168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 21390330168 in words is "twenty-one billion, three hundred ninety million, three hundred thirty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 2273 4507 4546 6819 9014 9092 13521 13638 18028 18184 20457 27042 27276 36056 40563 40914 54084 54552 65917 81126 81828 108168 130703 131834 162252 163656 197751 261406 263668 324504 392109 395502 522812 527336 593253 784218 791004 1045624 1176327 1186506 1568436 1582008 2352654 2373012 3136872 4705308 4746024 9410616 10244411 20488822 30733233 40977644 61466466 81955288 92199699 122932932 184399398 245865864 297087919 368798796 594175838 737597592 891263757 1188351676 1782527514 2376703352 2673791271 3565055028 5347582542 7130110056 10695165084 21390330168